74581920 has 288 divisors, whose sum is σ = 298771200. Its totient is φ = 16934400.

The previous prime is 74581867. The next prime is 74581937. The reversal of 74581920 is 2918547.

74581920 is a `hidden beast` number, since 74 + 581 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493845 + ... + 493995.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^74581920 is an apocalyptic number.

74581920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

74581920 is an abundant number, since it is smaller than the sum of its proper divisors (224189280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74581920 is a wasteful number, since it uses less digits than its factorization.

74581920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 74581920 is about 8636.0824451831. The cubic root of 74581920 is about 420.9312669070.

The spelling of 74581920 in words is "seventy-four million, five hundred eighty-one thousand, nine hundred twenty".